客服主管的英文称呼是"Customer Service Supervisor"。
"Customer Service" 是客服的意思，"Supervisor" 是主管的意思。这两个词结合起来就是客服主管的意思。
例句：
"I'll have to check with my customer service supervisor before I can give you an answer." (我得先和我的客服主管确认才能给您答复。)
"The customer service supervisor was able to resolve the issue with the customer." (客服主管能够解决客户的问题。)
"I have been promoted to customer service supervisor." (我被提升为客服主管。)